Coupled system description of perturbed KdV equation
Exactly Solvable and Integrable Systems
2008-05-29 v1
Abstract
In the multiple-soliton case, the freedom in the expansion of the solution of the perturbed KdV equation is exploited so as to transform the equation into a system of two equations: The (inte-grable) Normal Form for KdV-type solitons, which obey the usual infinity of KdV-conservation laws, and an auxiliary equation that describes the contribution of obstacles to asymptotic inte-grability, which arise from the second order onwards. The analysis has been carried through the third order in the expansion. Within that order, the solution of the auxiliary equation is a con-served quantity.
Cite
@article{arxiv.0805.4281,
title = {Coupled system description of perturbed KdV equation},
author = {Yair Zarmi},
journal= {arXiv preprint arXiv:0805.4281},
year = {2008}
}